101520018685128 has 64 divisors (see below), whose sum is σ = 260537430067200. Its totient is φ = 32946749398080.

The previous prime is 101520018684961. The next prime is 101520018685133. The reversal of 101520018685128 is 821586810025101.

101520018685128 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157833568 + ... + 158475471.

It is an arithmetic number, because the mean of its divisors is an integer number (4070897344800).

Almost surely, 2^{101520018685128} is an apocalyptic number.

It is an amenable number.

101520018685128 is an abundant number, since it is smaller than the sum of its proper divisors (159017411382072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101520018685128 is a wasteful number, since it uses less digits than its factorization.

101520018685128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316309402 (or 316309398 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 48.

The spelling of 101520018685128 in words is "one hundred one trillion, five hundred twenty billion, eighteen million, six hundred eighty-five thousand, one hundred twenty-eight".